90401155110409 has 16 divisors (see below), whose sum is σ = 106205921398080. Its totient is φ = 75860845940160.

The previous prime is 90401155110397. The next prime is 90401155110419.

90401155110409 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 90401155110409 - 2⁹ = 90401155109897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90401155110419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47875254 + ... + 49727680.

It is an arithmetic number, because the mean of its divisors is an integer number (6637870087380).

Almost surely, 2^{90401155110409} is an apocalyptic number.

It is an amenable number.

90401155110409 is a deficient number, since it is larger than the sum of its proper divisors (15804766287671).

90401155110409 is a wasteful number, since it uses less digits than its factorization.

90401155110409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193720.

The product of its (nonzero) digits is 32400, while the sum is 40.

The spelling of 90401155110409 in words is "ninety trillion, four hundred one billion, one hundred fifty-five million, one hundred ten thousand, four hundred nine".